Seminars and Colloquia by Series

Solutions of initial value problems of ordinary differential equations.

Series
Undergraduate Seminar
Time
Monday, October 7, 2019 - 15:00 for 1 hour (actually 50 minutes)
Location
Skiles 171
Speaker
Luca Dieci – Georgia Tech

This presentation reviews different concepts of solution of a differential equation, in particular stressing the need to modify the classical theory when we want to deal with discontinuous systems.  We will review the concept of classical solution, and then of Caratheodory solution and Filippov solution, motivating with simple examples the need for these extensions.

Variational Problems in Capillarity

Series
Undergraduate Seminar
Time
Monday, September 30, 2019 - 15:00 for 1 hour (actually 50 minutes)
Location
Skiles 171
Speaker
John McCuan – Georgia Tech

I will describe a few classical problems in capillarity and the associated classical variational framework.  These problems include the well-known shape and rise height problems for the meniscus in a tube as well as the problems associated with sessile and pendent drops. I will briefly discuss elements of recent modifications of the variational theory allowing floating objects.  Finally, I will describe a few open problems. 

Rational Tangles

Series
Undergraduate Seminar
Time
Monday, September 23, 2019 - 15:00 for
Location
Skiles 171
Speaker
Jennifer Hom – Georgia Tech

A knot is a smooth embedding of a circle into R^3. Closely related are tangles, which are properly embedded arcs in a 3-ball. We will model certain tangles using jump ropes and relate this to Conway's classification of rational tangles.

Continuing the Fraction

Series
Undergraduate Seminar
Time
Monday, September 16, 2019 - 15:00 for 1 hour (actually 50 minutes)
Location
Skiles 171
Speaker
Doron Lubinsky – Georgia Tech

Continued fractions play a key role in number theory, especially in understanding how well we can approximate irrational numbers by rational numbers. They also play an important role in function theory, in understanding how well we can approximate analytic functions by rational functions. We discuss a few of the main achievements of the theory.

Mathematical Approaches to Image Processing and Data Understanding

Series
Undergraduate Seminar
Time
Monday, September 9, 2019 - 15:00 for 1 hour (actually 50 minutes)
Location
Skiles 171
Speaker
Sung Ha Kang – Georgia Tech

Starting from Total Variation, this talk will overview some mathematical approaches for image processing, such as removing noise.  We will also consider numerical application to data understanding. A few more application maybe presented.

Solving Algebraic Equations

Series
Undergraduate Seminar
Time
Monday, August 26, 2019 - 15:00 for 1 hour (actually 50 minutes)
Location
Skiles 171
Speaker
Josephine Yu – Georgia Tech

We will discuss how to solve algebraic equations using symbolic, numerical, and combinatorial methods.

The Mathematics of Futurama

Series
Undergraduate Seminar
Time
Monday, August 19, 2019 - 15:00 for 1 hour (actually 50 minutes)
Location
Skiles 171
Speaker
Michael Lacey – Georgia Tech

Great News Everyone! The cartoon series Futurama is packed with science jokes. Adopting my Professor Farnsworth Alterego, I will explain some of these mathematical jokes with stills and clips from the series.

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